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Finding the Fourth Proportional to 210,405.60, 315,608.40 and 85,746.60

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Solution

The fourth proportional to 210,405.60, 315,608.40 and 85,746.60 is: 128,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,405.60 : 315,608.40 = 85,746.60 : x
  2. Step 2: Convert to fraction form
    210,405.60/315,608.40 = 85,746.60/x
  3. Step 3: Cross multiply
    210,405.60x = 315,608.40 × 85,746.60
  4. Step 4: Simplify right side
    210,405.60x = 27,062,347,231.44
  5. Step 5: Solve for x
    x = 27,062,347,231.44/210,405.60
  6. Step 6: Final answer
    x = 128,619.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.